Question

Given the information depicted in the diagram below, find the measure of ∠S. Describe how you arrived at your answer. Be sure to write a complete sentence for each sub-step of your solution. In your written response, include the key vocabulary terms” isosceles triangle”, “vertical angles”, and “congruent”.

Answer 1

Answer:

Answer is 44

Step-by-step explanation:

I'll do some of it. You can supply some of the vocabulary.

<Q = 56 degrees                         The triangle is isosceles.

<PRQ = 180 - 56 - 56                    All triangles have 180 degrees.

<PRQ = 68                                     Do the subtraction

<PRQ = <SRT                                 Why is this so? You have the term.

<TRS = 68 degrees                        The reason is the same as the last part.

<T = <RST                                         The triangle is isosceles (2 equal angles)  

<T = 68                                             Two equal angles = the same degrees    

S = 180 - <T - < RST                         S is the left over from the 2 equal angles.

S = 180 - 68 + 68                             Substitute.

S = 44    

Answer 2

Answer:

Answer 44

Step-by-step explanation:

I'll do some of it. You can supply some of the vocabulary.

<Q = 56 degrees                         The triangle is isosceles.

<PRQ = 180 - 56 - 56                    All triangles have 180 degrees.

<PRQ = 68                                     Do the subtraction

<PRQ = <SRT                                 Why is this so? You have the term.

<TRS = 68 degrees                        The reason is the same as the last part.

<T = <RST                                         The triangle is isosceles (2 equal angles)  

<T = 68                                             Two equal angles = the same degrees    

S = 180 - <T - < RST                         S is the left over from the 2 equal angles.

S = 180 - 68 + 68                             Substitute.

S = 44